Main: Facial Expression Recognition Framework

In your final repo, there should be an R markdown file that organizes all computational steps for evaluating your proposed Facial Expression Recognition framework.

This file is currently a template for running evaluation experiments. You should update it according to your codes but following precisely the same structure.

if(!require("EBImage")){
  install.packages("BiocManager")
  BiocManager::install("EBImage")
}
if(!require("R.matlab")){
  install.packages("R.matlab")
}
if(!require("readxl")){
  install.packages("readxl")
}

if(!require("dplyr")){
  install.packages("dplyr")
}
if(!require("readxl")){
  install.packages("readxl")
}

if(!require("ggplot2")){
  install.packages("ggplot2")
}

if(!require("caret")){
  install.packages("caret")
}

if(!require("glmnet")){
  install.packages("glmnet")
}

if(!require("WeightedROC")){
  install.packages("WeightedROC")
}

if(!require("gbm")){
  install.packages("gbm")
}

if(!require("xgboost")){
  install.packages("xgboost")
}


library(R.matlab)
library(readxl)
library(dplyr)
library(EBImage)
library(ggplot2)
library(caret)
library(glmnet)
library(WeightedROC)

library(gbm)
library(xgboost)

# install other packages as needed using the format above 

Step 0 set work directories

set.seed(2020)
setwd("~/GitHub/Fall2020-Project3-group1/doc")


# change the working directory as needed
# if someone can make this a relative path, that would be great!!! 

Provide directories for training images. Training images and Training fiducial points will be in different subfolders.

Step 1: set up controls for evaluation experiments.

In this chunk, we have a set of controls for the evaluation experiments.

• (T/F) cross-validation on the training set
• (T/F) reweighting the samples for training set
• (number) K, the number of CV folds
• (T/F) process features for training set
• (T/F) run evaluation on an independent test set
• (T/F) process features for test set

K <- 5  # number of CV folds

run.fudicial.list <- FALSE
run.feature.train <- TRUE # process features for training set
run.feature.test <- TRUE # process features for test set
sample.reweight <- TRUE # run sample reweighting in model training

run.cv.gbm <- FALSE # run cross-validation on the training set for gbm 
run.train.gbm <- TRUE # run evaluation on entire train set
run.test.gbm <- TRUE # run evaluation on an independent test set



# add controls here to make if else statements to either cross-validate, test, train, or to just load saved data
# for xgboost, we need to also train and test each time we knit to record the time for the model 

Using cross-validation or independent test set evaluation, we compare the performance of models with different specifications. In this Starter Code, we tune parameter lambda (the amount of shrinkage) for logistic regression with LASSO penalty.

# hyperparameters for our models 

# gbm model (baseline)
hyper_grid_gbm <- expand.grid(
  shrinkage = c(0.001, 0.005, 0.010, 0.050, 0.100),
  n.trees = c(600, 1200, 1800)
)

# xgboost model 
hyper_grid_xgboost <- expand.grid(
  eta = c(0.01, 0.05, 0.1, 0.2, 0.3),
  lambda = c(0.001, 0.005, 0.010, 0.050, 0.100),
  gamma = c(0, 5),
  nrounds = c(100, 200, 600)
)


# add more hyperparameters for each model as needed 

Step 2: import data and train-test split

#train-test split
info <- read.csv(train_label_path)
n <- nrow(info)
n_train <- round(n*(4/5), 0)
train_idx <- sample(info$Index, n_train, replace = F)
test_idx <- setdiff(info$Index, train_idx)

Fiducial points are stored in matlab format. In this step, we read them and store them in a list.

n_files <- length(list.files(train_image_dir))

if (run.fudicial.list){
  #function to read fiducial points
  #input: index
  #output: matrix of fiducial points corresponding to the index
  readMat.matrix <- function(index){
       return(round(readMat(paste0(train_pt_dir, sprintf("%04d", index), ".mat"))[[1]],0))
  }
  
  #load fiducial points
  fiducial_pt_list <- lapply(1:n_files, readMat.matrix)
  save(fiducial_pt_list, file="../output/fiducial_pt_list.RData")
} else {
  load(file="../output/fiducial_pt_list.RData")
}

Step 3: construct features and responses

• The follow plots show how pairwise distance between fiducial points can work as feature for facial emotion recognition.

  • In the first column, 78 fiducials points of each emotion are marked in order.
  • In the second column distributions of vertical distance between right pupil(1) and right brow peak(21) are shown in histograms. For example, the distance of an angry face tends to be shorter than that of a surprised face.
  • The third column is the distributions of vertical distances between right mouth corner(50) and the midpoint of the upper lip(52). For example, the distance of an happy face tends to be shorter than that of a sad face.

Figure1

feature.R should be the wrapper for all your feature engineering functions and options. The function feature( ) should have options that correspond to different scenarios for your project and produces an R object that contains features and responses that are required by all the models you are going to evaluate later.

• feature.R
• Input: list of images or fiducial point
• Output: an RData file that contains extracted features and corresponding responses

source("../lib/feature.R")
tm_feature_train <- NA
if(run.feature.train){
  tm_feature_train <- system.time(dat_train <- feature(fiducial_pt_list, train_idx))
  save(dat_train, file="../output/feature_train.RData")
}else{
  load(file="../output/feature_train.RData")
}

tm_feature_test <- NA
if(run.feature.test){
  tm_feature_test <- system.time(dat_test <- feature(fiducial_pt_list, test_idx))
  save(dat_test, file="../output/feature_test.RData")
}else{
  load(file="../output/feature_test.RData")
}

Step 4: Train a classification model with training features and responses

Call the train model and test model from library.

train.R and test.R should be wrappers for all your model training steps and your classification/prediction steps.

• train.R
  • Input: a data frame containing features and labels and a parameter list.
  • Output:a trained model
• test.R
  • Input: the fitted classification model using training data and processed features from testing images
  • Input: an R object that contains a trained classifier.
  • Output: training model specification
• In this Starter Code, we use logistic regression with LASSO penalty to do classification.

source("../lib/train_gbm.R") 
source("../lib/test_gbm.R")

Model selection with cross-validation

• Do model selection by choosing among different values of training model parameters.

Gradient Boosted Trees (gbm model) (Baseline Model)

source("../lib/cross_validation_gbm.R")
feature_train = as.matrix(dat_train[, -6007])
label_train = as.integer(dat_train$label) 

if(run.cv.gbm){
  res_cv <- matrix(0, nrow = nrow(hyper_grid_gbm), ncol = 4)
  for(i in 1:nrow(hyper_grid_gbm)){
    cat("n.trees = ", hyper_grid_gbm$n.trees[i], ", 
        shrinkage = ", hyper_grid_gbm$shrinkage[i],"\n", sep = "")
    res_cv[i,] <- cv.function(features = feature_train, labels = label_train,
                              num_trees = hyper_grid_gbm$n.trees[i], 
                              shrink = hyper_grid_gbm$shrinkage[i], 
                              K, reweight = sample.reweight)
  save(res_cv, file="../output/res_cv_gbm.RData")
  }
}else{
  load("../output/res_cv_gbm.RData")
}

*Visualize cross-validation results.

res_cv_gbm <- as.data.frame(res_cv) 
colnames(res_cv_gbm) <- c("mean_error", "sd_error", "mean_AUC", "sd_AUC")

gbm_cv_results = data.frame(hyper_grid_gbm, res_cv_gbm)

# Mean Error
ggplot(gbm_cv_results, aes(as.factor(shrinkage), as.factor(n.trees), fill = mean_error)) + 
  geom_tile()

# Mean AUC
ggplot(gbm_cv_results, aes(as.factor(shrinkage), as.factor(n.trees), fill = mean_AUC)) + 
  geom_tile()


# Mean Error
# N.Trees = 600
ggplot(gbm_cv_results[gbm_cv_results$n.trees == 600, ],
       aes(x = as.factor(shrinkage), y = mean_error, 
           ymin = mean_error - sd_error, ymax = mean_error + sd_error)) + 
    geom_crossbar() + theme(axis.text.x = element_text(angle = 90, hjust = 1))

# N.Trees = 1200
ggplot(gbm_cv_results[gbm_cv_results$n.trees == 1200, ],
       aes(x = as.factor(shrinkage), y = mean_error, 
           ymin = mean_error - sd_error, ymax = mean_error + sd_error)) + 
    geom_crossbar() + theme(axis.text.x = element_text(angle = 90, hjust = 1))

# N.Trees = 1800
ggplot(gbm_cv_results[gbm_cv_results$n.trees == 1800, ],
       aes(x = as.factor(shrinkage), y = mean_error, 
           ymin = mean_error - sd_error, ymax = mean_error + sd_error)) + 
    geom_crossbar() + theme(axis.text.x = element_text(angle = 90, hjust = 1))


# Mean AUC
# N.Trees = 600
ggplot(gbm_cv_results[gbm_cv_results$n.trees == 600, ],
       aes(x = as.factor(shrinkage), y = mean_AUC, 
           ymin = mean_AUC - sd_AUC, ymax = mean_AUC + sd_AUC)) + 
    geom_crossbar() + theme(axis.text.x = element_text(angle = 90, hjust = 1))

# N.Trees = 1200
ggplot(gbm_cv_results[gbm_cv_results$n.trees == 1200, ],
       aes(x = as.factor(shrinkage), y = mean_AUC, 
           ymin = mean_AUC - sd_AUC, ymax = mean_AUC + sd_AUC)) + 
    geom_crossbar() + theme(axis.text.x = element_text(angle = 90, hjust = 1))

# N.Trees = 1800
ggplot(gbm_cv_results[gbm_cv_results$n.trees == 1800, ],
       aes(x = as.factor(shrinkage), y = mean_AUC, 
           ymin = mean_AUC - sd_AUC, ymax = mean_AUC + sd_AUC)) + 
    geom_crossbar() + theme(axis.text.x = element_text(angle = 90, hjust = 1))

• Choose the “best” parameter value

par_best_gbm_ind <- which(gbm_cv_results$mean_AUC == max(gbm_cv_results$mean_AUC))
par_best_gbm_shrinkage <- gbm_cv_results$shrinkage[par_best_gbm_ind]
par_best_gbm_n.trees <- gbm_cv_results$n.trees[par_best_gbm_ind]

• Train the model with the entire training set using the selected model (model parameter) via cross-validation.

if (run.train.gbm) {
  # training weights
  weight_train <- rep(NA, length(label_train))
  for (v in unique(label_train)){
    weight_train[label_train == v] = 0.5 * length(label_train) / length(label_train[label_train == v])
  }
  
  if (sample.reweight){
    tm_train_gbm <- system.time(fit_train <- train(feature_train, label_train, w = weight_train, 
                                               num_trees = par_best_gbm_n.trees, shrink = par_best_gbm_shrinkage))
  } else {
    tm_train_gbm <- system.time(fit_train <- train(feature_train, label_train, w = NULL, 
                                               num_trees = par_best_gbm_n.trees, shrink = par_best_gbm_shrinkage))
  }
  save(fit_train, file="../output/fit_train_gbm.RData")
  
} else {
  load(file="../output/fit_train_gbm.RData")
}

Principal Components Analysis (PCA) + Support Vector Machines (SVMs)

*Visualize cross-validation results.

Convolutional Neurual Networks

*Visualize cross-validation results.

Random Forests

*Visualize cross-validation results.

xgboost Model (Proposed Model)

*Visualize cross-validation results.

• Choose the “best” parameter value

• Train the model with the entire training set using the selected model (model parameter) via cross-validation.

Step 5: Run test on test images

Gradient Boosted Trees (gbm) (Baseline Model)

tm_test_gbm = NA
feature_test <- as.matrix(dat_test[, -6007])
label_test <- as.integer(dat_test$label)

if(run.test.gbm){
  load(file="../output/fit_train_gbm.RData")
  tm_test_gbm <- system.time({prob_pred <- test(fit_train, feature_test, pred.type = 'response'); 
                              label_pred <- ifelse(prob_pred >= 0.5, 1, 0)})
}

• evaluation

## reweight the test data to represent a balanced label distribution

weight_test <- rep(NA, length(label_test))
for (v in unique(label_test)){
  weight_test[label_test == v] = 0.5 * length(label_test) / length(label_test[label_test == v])
}

# convert the original 1-2 class into numeric 0s and 1s
label_test <- ifelse(label_test == 2, 0, 1)

accu <- sum(weight_test * (label_pred == label_test)) / sum(weight_test)
tpr.fpr <- WeightedROC(prob_pred, label_test, weight_test)
auc <- WeightedAUC(tpr.fpr)

xgboost Model (Proposed Model)

• evaluation

Summarize Running Time

Prediction performance matters, so does the running times for constructing features and for training the model, especially when the computation resource is limited.

Reference

• Du, S., Tao, Y., & Martinez, A. M. (2014). Compound facial expressions of emotion. Proceedings of the National Academy of Sciences, 111(15), E1454-E1462.